Sigma_1 = np.matrix([[ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,
          0.        ,  0.        ,  0.        ,  0.        ,  0.        ],
        [ 0.        ,  0.09254821,  0.04783741,  0.0644818 ,  0.03508729,
          0.07629748,  0.04991925,  0.02927672,  0.04570482,  0.03254685],
        [ 0.        ,  0.04783741,  0.10730104,  0.0653243 ,  0.0613616 ,
          0.08782232,  0.04595562,  0.04692572,  0.0587594 ,  0.04758259],
        [ 0.        ,  0.0644818 ,  0.0653243 ,  0.08066875,  0.0406249 ,
          0.07364002,  0.05038594,  0.03586119,  0.06005228,  0.03123299],
        [ 0.        ,  0.03508729,  0.0613616 ,  0.0406249 ,  0.05803883,
          0.05871954,  0.03193848,  0.02341001,  0.04012825,  0.0373413 ],
        [ 0.        ,  0.07629748,  0.08782232,  0.07364002,  0.05871954,
          0.10969127,  0.05725582,  0.04672773,  0.05876489,  0.05049575],
        [ 0.        ,  0.04991925,  0.04595562,  0.05038594,  0.03193848,
          0.05725582,  0.06020548,  0.02737974,  0.04926445,  0.02844736],
        [ 0.        ,  0.02927672,  0.04692572,  0.03586119,  0.02341001,
          0.04672773,  0.02737974,  0.03969674,  0.02841022,  0.02056907],
        [ 0.        ,  0.04570482,  0.0587594 ,  0.06005228,  0.04012825,
          0.05876489,  0.04926445,  0.02841022,  0.07193685,  0.02909675],
        [ 0.        ,  0.03254685,  0.04758259,  0.03123299,  0.0373413 ,
          0.05049575,  0.02844736,  0.02056907,  0.02909675,  0.0417567 ]])

Sigma_2 = np.matrix([[ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,
           0.        ,  0.        ,  0.        ,  0.        ,  0.        ],
         [ 0.        ,  0.095507  ,  0.03490251,  0.06526034,  0.02499385,
           0.08272292,  0.05739974,  0.02790096,  0.06015928,  0.02577712],
         [ 0.        ,  0.03490251,  0.10861701,  0.05107498,  0.04959124,
           0.08916975,  0.0348862 ,  0.03575484,  0.05085625,  0.04511977],
         [ 0.        ,  0.06526034,  0.05107498,  0.08158651,  0.04136407,
           0.06878668,  0.05743412,  0.03720951,  0.05036775,  0.0355747 ],
         [ 0.        ,  0.02499385,  0.04959124,  0.04136407,  0.05882432,
           0.05780579,  0.03068954,  0.02881275,  0.04036602,  0.04467288],
         [ 0.        ,  0.08272292,  0.08916975,  0.06878668,  0.05780579,
           0.11843709,  0.05441237,  0.03745399,  0.07088283,  0.0569503 ],
         [ 0.        ,  0.05739974,  0.0348862 ,  0.05743412,  0.03068954,
           0.05441237,  0.06420562,  0.02009933,  0.0584343 ,  0.024069  ],
         [ 0.        ,  0.02790096,  0.03575484,  0.03720951,  0.02881275,
           0.03745399,  0.02009933,  0.04035138,  0.0333448 ,  0.01553796],
         [ 0.        ,  0.06015928,  0.05085625,  0.05036775,  0.04036602,
           0.07088283,  0.0584343 ,  0.0333448 ,  0.07538478,  0.02431135],
         [ 0.        ,  0.02577712,  0.04511977,  0.0355747 ,  0.04467288,
           0.0569503 ,  0.024069  ,  0.01553796,  0.02431135,  0.04693409]])
 
Sigma_3 = np.matrix([[ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,
           0.        ,  0.        ,  0.        ,  0.        ,  0.        ],
         [ 0.        ,  0.09526941,  0.04324487,  0.06411049,  0.03936812,
           0.08696712,  0.05309912,  0.02342944,  0.04872357,  0.03117662],
         [ 0.        ,  0.04324487,  0.1089657 ,  0.05601249,  0.05040394,
           0.07850734,  0.0289173 ,  0.05000681,  0.05234128,  0.03948955],
         [ 0.        ,  0.06411049,  0.05601249,  0.08565929,  0.04110657,
           0.075171  ,  0.05672471,  0.0448922 ,  0.0482789 ,  0.02698833],
         [ 0.        ,  0.03936812,  0.05040394,  0.04110657,  0.06290146,
           0.06144111,  0.03636789,  0.01778037,  0.03432609,  0.03934182],
         [ 0.        ,  0.08696712,  0.07850734,  0.075171  ,  0.06144111,
           0.1129559 ,  0.04473504,  0.04237765,  0.06369504,  0.04279469],
         [ 0.        ,  0.05309912,  0.0289173 ,  0.05672471,  0.03636789,
           0.04473504,  0.06380631,  0.02147502,  0.04538684,  0.0267327 ],
         [ 0.        ,  0.02342944,  0.05000681,  0.0448922 ,  0.01778037,
           0.04237765,  0.02147502,  0.04386316,  0.02823811,  0.02501968],
         [ 0.        ,  0.04872357,  0.05234128,  0.0482789 ,  0.03432609,
           0.06369504,  0.04538684,  0.02823811,  0.07299476,  0.01923475],
         [ 0.        ,  0.03117662,  0.03948955,  0.02698833,  0.03934182,
           0.04279469,  0.0267327 ,  0.02501968,  0.01923475,  0.04409686]])
 
Sigma_4 = np.matrix([[ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,
           0.        ,  0.        ,  0.        ,  0.        ,  0.        ],
         [ 0.        ,  0.09758228,  0.0359963 ,  0.05946242,  0.03142617,
           0.0861721 ,  0.05603158,  0.0275542 ,  0.04373138,  0.03548012],
         [ 0.        ,  0.0359963 ,  0.1103195 ,  0.07466106,  0.04975853,
           0.06889092,  0.04397436,  0.04130197,  0.06930426,  0.05059389],
         [ 0.        ,  0.05946242,  0.07466106,  0.08391202,  0.04428644,
           0.06875469,  0.05999467,  0.03833822,  0.0570239 ,  0.03956506],
         [ 0.        ,  0.03142617,  0.04975853,  0.04428644,  0.06279906,
           0.06009569,  0.04080876,  0.02044131,  0.0435032 ,  0.03797471],
         [ 0.        ,  0.0861721 ,  0.06889092,  0.06875469,  0.06009569,
           0.11514437,  0.05032985,  0.03408906,  0.05193551,  0.0530078 ],
         [ 0.        ,  0.05603158,  0.04397436,  0.05999467,  0.04080876,
           0.05032985,  0.0633989 ,  0.03646212,  0.05499984,  0.03016235],
         [ 0.        ,  0.0275542 ,  0.04130197,  0.03833822,  0.02044131,
           0.03408906,  0.03646212,  0.04068243,  0.03718372,  0.02399219],
         [ 0.        ,  0.04373138,  0.06930426,  0.0570239 ,  0.0435032 ,
           0.05193551,  0.05499984,  0.03718372,  0.07564175,  0.02573734],
         [ 0.        ,  0.03548012,  0.05059389,  0.03956506,  0.03797471,
           0.0530078 ,  0.03016235,  0.02399219,  0.02573734,  0.04611609]])
 
Sigma_5 = np.matrix([[ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,
           0.        ,  0.        ,  0.        ,  0.        ,  0.        ],
         [ 0.        ,  0.09257115,  0.057957  ,  0.06026799,  0.02971675,
           0.07934071,  0.04613742,  0.03909262,  0.04213693,  0.04068624],
         [ 0.        ,  0.057957  ,  0.11237007,  0.07639321,  0.06354144,
           0.0709198 ,  0.0547416 ,  0.0545498 ,  0.047292  ,  0.05416033],
         [ 0.        ,  0.06026799,  0.07639321,  0.08818118,  0.0445856 ,
           0.07078249,  0.06167792,  0.03892233,  0.05792067,  0.02803793],
         [ 0.        ,  0.02971675,  0.06354144,  0.0445856 ,  0.05821433,
           0.04937177,  0.0331531 ,  0.02326723,  0.03578768,  0.04053368],
         [ 0.        ,  0.07934071,  0.0709198 ,  0.07078249,  0.04937177,
           0.11238519,  0.04700731,  0.04394574,  0.05604537,  0.05800907],
         [ 0.        ,  0.04613742,  0.0547416 ,  0.06167792,  0.0331531 ,
           0.04700731,  0.06062471,  0.02047771,  0.03838862,  0.02320704],
         [ 0.        ,  0.03909262,  0.0545498 ,  0.03892233,  0.02326723,
           0.04394574,  0.02047771,  0.04070352,  0.03773938,  0.03033999],
         [ 0.        ,  0.04213693,  0.047292  ,  0.05792067,  0.03578768,
           0.05604537,  0.03838862,  0.03773938,  0.0733278 ,  0.0306726 ],
         [ 0.        ,  0.04068624,  0.05416033,  0.02803793,  0.04053368,
           0.05800907,  0.02320704,  0.03033999,  0.0306726 ,  0.04902662]])
 
Sigma_6 = np.matrix([[ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,
           0.        ,  0.        ,  0.        ,  0.        ,  0.        ],
         [ 0.        ,  0.09781611,  0.03566223,  0.07154097,  0.02311419,
           0.08306302,  0.04748966,  0.02111952,  0.04240216,  0.0364422 ],
         [ 0.        ,  0.03566223,  0.10871407,  0.07059418,  0.06327209,
           0.07008336,  0.0560132 ,  0.03630566,  0.04978753,  0.03542462],
         [ 0.        ,  0.07154097,  0.07059418,  0.0867593 ,  0.03367542,
           0.07664464,  0.04438698,  0.03324394,  0.04953563,  0.04170684],
         [ 0.        ,  0.02311419,  0.06327209,  0.03367542,  0.06425287,
           0.06406659,  0.03623791,  0.02071801,  0.03599079,  0.03501013],
         [ 0.        ,  0.08306302,  0.07008336,  0.07664464,  0.06406659,
           0.12031381,  0.05653254,  0.04843331,  0.07034969,  0.04769512],
         [ 0.        ,  0.04748966,  0.0560132 ,  0.04438698,  0.03623791,
           0.05653254,  0.06048278,  0.02421048,  0.04491281,  0.03085489],
         [ 0.        ,  0.02111952,  0.03630566,  0.03324394,  0.02071801,
           0.04843331,  0.02421048,  0.04139134,  0.03154769,  0.01374993],
         [ 0.        ,  0.04240216,  0.04978753,  0.04953563,  0.03599079,
           0.07034969,  0.04491281,  0.03154769,  0.07377259,  0.02757577],
         [ 0.        ,  0.0364422 ,  0.03542462,  0.04170684,  0.03501013,
           0.04769512,  0.03085489,  0.01374993,  0.02757577,  0.04266167]])
          
        